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The following article will add knowledge about “** Two wires are tied to the 2.5 kg sphere shown in the figure. (Figure 1)**“. Let’s not forget to look at the content!

## Question

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Two wires are tied to the 2.5 kg sphere shown in the figure. (Figure 1) The sphere evolves in horizontal circle at constant speed Part A For what speed is the tension the same in both wires?

Express your answer to two significant figures and include the appropriate units. E0) Value Units Submit Request Answer Figure 1 of 1 Part B What is the tension? Express your answer to two significant figures and include the appropriate units. E0) T = Value Units Submit Request Answer

## Answer “Two wires are tied to the 2.5 kg sphere shown in the figure. (Figure 1)”.

### Circular Motion:

The acceleration in circular motion is toward the center of rotation. It is given by

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where *R* is the radius of rotation.

**A)** The following set of equations can be used to determine the motion of the sphere:

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Here,

- T
_{1 }is the tension in the upper wire - T
_{2}is the tension in the bottom wire

If T_{1} = T_{2} = T, we obtain:

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We use velocity to achieve:

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The following equation can give you the radius of rotation *R*:

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We obtain:

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Finally, we calculate the velocity to be:

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The angular velocity is the speed at which rotation occurs:

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**B)** The following factors determine the tension of the wires:

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Calculation yields:

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Last results is T = 18N

## Last words

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